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Mama L [17]
1 year ago
15

One factor of mc018-1.jpg is (x + 7). What are all the roots of the function? Use the Remainder Theorem.

Mathematics
2 answers:
Inessa05 [86]1 year ago
4 0

Answer:

It’s b

Step-by-step explanation:

mezya [45]1 year ago
3 0
One factor of f(x) = 5x³ + 5x² - 170x + 280 is (x + 7). What are all the roots of the function? Use The Remainder <span>Theorem
</span>

<span>Solution:
</span>
<span><span>The </span>all roots of the function ⇒⇒⇒ -7 , 2 and 4
</span><span>
</span><span>See the attached figure for the detailed solution.
</span>

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Solve for x. −12 = − 3/4 x A) 6 B) 8 C) 12 D) 16
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D) 16

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According to a 2014 research study of national student engagement in the U.S., the average college student spends 17 hours per w
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Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 17

For the alternative hypothesis,

µ < 17

This is a left tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 80,

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t = (x - µ)/(s/√n)

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x = sample mean = 15.6

µ = population mean = 17

s = samples standard deviation = 4.5

t = (15.6 - 17)/(4.5/√80) = - 2.78

We would determine the p value using the t test calculator. It becomes

p = 0.0034

Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.

The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.

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2 years ago
Brahmagupta solved a quadratic equation of the form ax2 + bx = c using the formula x =, which involved only one solution. Using
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1 year ago
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Please help! Tim and Jane both work at a company that sells boxes of breakfast cereal. The boxes of cereal cost £3.00 and the am
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Answer: Jane needs to reduce the price by 20%

Step-by-step explanation: The first thing to note is the original price of the cereal and that is given as £3 for every 160 grams.

The change proposed by Tim is as follows;

Put 25% more cereal in the box (and do not change the price). That means 160 g plus 25%. Mathematically, this can be expressed as;

New weight = 160 + (160 * 25%)

New weight = 160 + (160 * 0.25)

New weight = 160 + 40

New weight = 200

Hence, Tim's idea would result in a cereal box with 200 grams that still cost £3. At this rate, each gram would cost

1 gram = Price / Total grams

1 gram = 3/200

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However, Jane has proposed that the amount of cereal in the box should not be changed, which means the box of cereals should remain 160 grams. The price should be reduced to give the same value as Tim's idea. This means 160 g of cereals should now sell for £0.015 per gram. That would bring the price of 160 g to,

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160 grams = 0.015 * 160

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With Jane's proposal, a 160 g box of cereal should now be sold at £2.4 each. That is a reduction of £0.6

Therefore, the percentage reduction can be calculated as follows;

% decrease = (0.6/3) * 100

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From the results above, Jane should reduce the price (£3 per 160 g) by 20%.

7 0
2 years ago
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